john mangual
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# 35 Accepts

 Aug 26 accepted Large regions of the plane $(x,y) \in \mathbb{Z}^2$ with no relatively prime points: $\mathrm{gcd}(x,y) > 1$ Aug 19 accepted Prove or disprove: $\sum_{b \vee d = x} \tau(b) \tau(d) = \tau(x)^3$ Jul 30 accepted Computing the intersection of two arithmetic sequences $(a\mathbb{Z} + b) \cap (c \mathbb{Z} + d)$ Jul 29 accepted Can the numbers $2^m 3^n$ have an infinitely long arithmetic sequence? May 16 accepted Show that $\int_{-T}^T |\zeta(\frac{1}{2} + it)|^4 \, dt \sim T \log(T)^4$ May 13 accepted Math vs Probability vs Statistics Apr 23 accepted modification of Dedekind cuts Apr 22 accepted Explicit Galois Action for $X^3 - X -1$ Dec 31 accepted $\int_{-\pi/2}^{\pi/2} dx \, \sin^{2n} x$ Dec 9 accepted inversion of the circle $t \mapsto (3 + is) + e^{it}$ around the unit circle. Nov 11 accepted Find $n$ such that $(\mathbb{Z}/n\mathbb{Z})^\times \simeq \mathbb{Z}_2 \times \mathbb{Z}_2$. Nov 7 accepted ODE satisfied by $\,f(\xi) = \int_0^1 \frac{e^{-\xi x}}{\sqrt{1 - x^2}}dx$ Sep 17 accepted Is $\int_{-1}^1 \frac{dx}{\sqrt{x^2 - 1}}$ divergent? Aug 24 accepted Analogue of $\zeta(2) = \frac{\pi^2}{6}$ for Dirichlet L-series of $\mathbb{Z}/3\mathbb{Z}$? Aug 18 accepted Log concavity of binomial coefficients: $\binom{n}{k}^2 \geq \binom{n}{k-1}\binom{n}{k+1}$ Jun 18 accepted what are the “points” of the scheme $\mathbb{Z}_8[x] /(x^2 + 7)$ Jun 13 accepted Exact value of $\tan 50^\circ$ Jun 7 accepted which continued fraction is bigger? $[1,1,a,1,1,1,1]$ or $[1,1,1,b,1,1,1]$ May 21 accepted uniform spanning tree of $2 \times n$ graph May 17 accepted A combinatorial proof of Euler's Criterion? $(\tfrac{a}{p})\equiv a^{\frac{p-1}{2}} \text{ mod p}$